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Finding the Fourth Proportional to 406.26, 608.31 and 334.44

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Solution

The fourth proportional to 406.26, 608.31 and 334.44 is: 500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.26 : 608.31 = 334.44 : x
  2. Step 2: Convert to fraction form
    406.26/608.31 = 334.44/x
  3. Step 3: Cross multiply
    406.26x = 608.31 × 334.44
  4. Step 4: Simplify right side
    406.26x = 203,443.20
  5. Step 5: Solve for x
    x = 203,443.20/406.26
  6. Step 6: Final answer
    x = 500.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.